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On nonlinear difference and differential equations
BIT, 1984Let \(L[f]\) be the least upper bound Lipschitz constant of \(f:D\to {\mathbb{R}}^ m,\) \[ L[f]=\sup_{u\neq v}\frac{\| f(u)-f(v)\|}{\| u- v\|},\quad u,v\in D\subset {\mathbb{R}}^ m, \] for a given norm on \({\mathbb{R}}^ m\). In analogy with the logarithmic norm, the author introduces the expression \[ M[f]=\lim_{h\to 0+}\frac{L[I+hf]-1}{h} \] where ...
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A Predictor–Corrector Compact Difference Scheme for a Nonlinear Fractional Differential Equation
Fractal and Fractional, 2023Haixiang Zhang, Xiaoxuan Jiang
exaly
Oscillation of Solutions for Second-Order Nonlinear Difference Equations With Nonlinear Neutral Term
Computers and Mathematics With Applications, 2001Zhenguo Zhang
exaly
Solvable Subclasses of a Class of Nonlinear Second-Order Difference Equations
Advances in Nonlinear Analysis, 2016Stevo Stević
exaly
Asymptotic Behavior of Nonlinear Difference Equations With Delays
Computers and Mathematics With Applications, 2001Daoyi Xu
exaly
Oscillation Criteria for a Nonlinear Difference Equation
Computers and Mathematics With Applications, 1998Sui Sun Cheng
exaly
Numerical Studies on the Split-Step Finite Difference Method for Nonlinear Schrödinger Equations
Applied Mathematics and Computation, 2005Hanquan Wang
exaly

